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Developing a thermodynamic theory of computation is a challenging task at the interface of non-equilibrium thermodynamics and computer science. In particular, this task requires dealing with difficulties such as stochastic halting times,…

Statistical Mechanics · Physics 2024-05-14 Gonzalo Manzano , Gülce Kardeş , Édgar Roldán , David Wolpert

We investigate the performance of an adiabatic evolution protocol when initialized from a Gibbs state at finite temperature. Specifically, we identify the diagonality of the final state in the energy eigenbasis, as well as the difference in…

Quantum Physics · Physics 2026-03-11 Reinis Irmejs , Mari Carmen Bañuls , J. Ignacio Cirac

According to the second law of thermodynamics, for every transformation performed on a system which is in contact with an environment of fixed temperature, the extracted work is bounded by the decrease of the free energy of the system.…

Quantum Physics · Physics 2016-07-15 Vasco Cavina , Andrea Mari , Vittorio Giovannetti

We analytically derive universal bounds that describe the trade-off between thermodynamic cost and precision in a sequence of events related to some internal changes of an otherwise hidden physical system. The precision is quantified by the…

Statistical Mechanics · Physics 2024-06-18 Patrick Pietzonka , Francesco Coghi

We study the problem of optimizing released heat or dissipated work in stochastic thermodynamics. In the overdamped limit these functionals have singular solutions, previously interpreted as protocol jumps. We show that a regularization,…

Statistical Mechanics · Physics 2015-06-03 Erik Aurell , Carlos Mejia-Monasterio , Paolo Muratore-Ginanneschi

Developing the non-equilibrium thermodynamics of friction is required for systematic design of low friction surfaces for a broad range of technological applications. Intuitively, the thermodynamic work done by a material sliding along a…

Mesoscale and Nanoscale Physics · Physics 2019-11-07 Paola Carolina Torche , Tomas Polcar , Ondrej Hovorka

We experimentally realize protocols that allow to extract work beyond the free energy difference from a single electron transistor at the single thermodynamic trajectory level. With two carefully designed out-of-equilibrium driving cycles…

Optimal processes in stochastic thermodynamics are a frontier for understanding the control and design of non-equilibrium systems, with broad practical applications in biology, chemistry, and nanoscale/mesoscale systems. Optimal mass…

Statistical Mechanics · Physics 2026-01-15 Atul Tanaji Mohite , Heiko Rieger

We devise automated workflows for the calculation of Helmholtz and Gibbs free energies and their temperature and pressure dependence and provide the corresponding computational tools. We employ non-equilibrium thermodynamics for evaluating…

Materials Science · Physics 2021-10-13 Sarath Menon , Yury Lysogorskiy , Jutta Rogal , Ralf Drautz

We quantitatively assess the energetic cost of several well-known control protocols that achieve a finite time adiabatic dynamics, namely counterdiabatic and local counterdiabatic driving, optimal control, and inverse engineering. By…

Modern digital electronics support remarkably reliable computing, especially given the challenge of controlling nanoscale logical components that interact in fluctuating environments. However, we demonstrate that the high-reliability limit…

Statistical Mechanics · Physics 2020-10-07 P. M. Riechers , A. B. Boyd , G. W. Wimsatt , J. P. Crutchfield

Perfectly rational decision-makers maximize expected utility, but crucially ignore the resource costs incurred when determining optimal actions. Here we employ an axiomatic framework for bounded rational decision-making based on a…

Artificial Intelligence · Computer Science 2011-07-29 Pedro A. Ortega , Daniel A. Braun

We solve the random energy model when the energies of the configurations take only integer values. In the thermodynamic limit, the average overlaps remain size dependent and oscillate as the system size increases. While the extensive part…

Disordered Systems and Neural Networks · Physics 2022-06-22 Bernard Derrida , Peter Mottishaw

We study dynamic cooling, where an externally driven two-level system is cooled via reservoir, a quantum system with initial canonical equilibrium state. We obtain explicitly the minimal possible temperature $T_{\rm min}>0$ reachable for…

Statistical Mechanics · Physics 2015-05-28 Armen E. Allahverdyan , Karen V. Hovhannisyan , Dominik Janzing , Guenter Mahler

We introduce a classical algorithm to approximate the free energy of local, translation-invariant, one-dimensional quantum systems in the thermodynamic limit of infinite chain size. While the ground state problem (i.e., the free energy at…

Quantum Physics · Physics 2024-07-04 Hamza Fawzi , Omar Fawzi , Samuel O. Scalet

The problem of determining lower bounds for the energy cost of a given nanoscale design is addressed via a complexity theory-based approach. This paper provides a theoretical framework that is able to assess the trade-offs existing in…

Computational Complexity · Computer Science 2011-11-09 Diana Marculescu

We perform an analytic study on the stochastic thermodynamics of a small classical particle trapped in a time dependent single-well potential in the highly underdamped limit. It is shown that the nonequilibrium probability density function…

Statistical Mechanics · Physics 2019-06-26 Domingos S. P. Salazar , Sérgio A. Lira

A fundamental problem in modern thermodynamics is how a molecular-scale machine performs useful work, while operating away from thermal equilibrium without excessive dissipation. To this end, we derive a friction tensor that induces a…

Statistical Mechanics · Physics 2012-05-09 David A. Sivak , Gavin E. Crooks

We investigate a solvable model for energy conserving non-equilibrium steady states. The time-reversal asymmetry of the dynamics leads to the violation of detailed balance and to ergodicity breaking, as manifested by the presence of…

Statistical Mechanics · Physics 2011-11-09 Yair Shokef , Gal Shulkind , Dov Levine

Using Brownian motion in periodic potentials $V(x)$ tilted by a force $f$, we provide physical insight into the thermodynamic uncertainty relation, a recently conjectured principle for statistical errors and irreversible heat dissipation in…

Statistical Mechanics · Physics 2017-08-09 Changbong Hyeon , Wonseok Hwang